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AP EAMCET201920 Apr 2019Morning ShiftMathematicsDifferentiationActual

If (y=f(x) ) is twice differentiable function such that at a point (P, d y d x =4, d^2 y d x^2 =-3 ), then ( ( d^2 x d y^2 )_P= )

Options

  1. A( 64 3 )
  2. B( 16 3 )
  3. C( 3 16 )
  4. D( 3 64 )

Correct answer

D. ( 3 64 )

Step-by-step solution

( array ll d^2 x d y^2 = d d y ( d x d y )= d x d y d d x ( 1 ( d y d x ) ) = ( d x d y ) ( - d^2 y d x^2 ( d y d x )^2 )=- ( d^2 y d x^2 ) ( d y d x )^3 ( d^2 x d y^2 )_p =- (-3) (4)^3 = 3 64 array ) Hence, option (4) is correct.

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